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Finding the Fourth Proportional to 1,409.66, 2,113.04 and 715.04

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Solution

The fourth proportional to 1,409.66, 2,113.04 and 715.04 is: 1,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.66 : 2,113.04 = 715.04 : x
  2. Step 2: Convert to fraction form
    1,409.66/2,113.04 = 715.04/x
  3. Step 3: Cross multiply
    1,409.66x = 2,113.04 × 715.04
  4. Step 4: Simplify right side
    1,409.66x = 1,510,908.12
  5. Step 5: Solve for x
    x = 1,510,908.12/1,409.66
  6. Step 6: Final answer
    x = 1,071.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.